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Holomorphic functions with Nash real part

Published 23 Jul 2025 in math.CV and math.AG | (2507.17387v1)

Abstract: In this paper we show that a holomorphic function, defined on an open subset $D$ of $\mathbb{C}n$, is a complex Nash function if and only if its real part (or equivalently its imaginary part) is a real Nash function.

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